Summation Calculator
Calculate the sum of a sequence of numbers using a starting value, ending value, and optional step. Supports arithmetic series and custom expressions.
Published by:
isCalculator Editorial Team
Was this calculator helpful?
How to use this tool?
This calculator sums the values of a mathematical expression over a range of integers. Follow these steps:
- Enter Start, End, and Step – These define the range. For example, start at 1, end at 100, step 1.
- Enter an Expression – Use
ias the variable. For example,isums the numbers themselves;i*isums squares. - Click "Calculate Sum" – The result appears immediately, showing the total sum and a breakdown of the first few terms.
Important: Ensure the step direction matches the range (positive step for start ≤ end, negative step for start ≥ end). Step cannot be zero. The expression must use standard arithmetic operators and the variable i only.
Previous Results
| Result | Inputs | Date |
|---|
Frequently Asked Questions
It calculates the sum of a sequence of numbers defined by a starting value, ending value, step, and an optional expression using the variable i.
Enter an arithmetic expression using 'i' as the variable. For example, 'i' sums the integers, 'i*i' sums squares, '2*i+1' sums odd numbers.
If step is negative, the calculator sums from start down to end (start must be greater than or equal to end).
